LIST OF PUBLICATIONS
by M. Deza

Before 1973 (in Moscow)

1. Geometrie de Hamming des cubes unites (in Russian) Doklady Akademii Naouk SSSR 1960, 134 (5), 1037-1040. MR 22 no 13359. [link]

2. Realisabilite des matrices de distances dans des cubes unites (in Russian) Problemy kibernetiki 1962, 7, 31-42. [link]

3. Correction d'un bruit arbitraire et du bruit le pire (in Russian) Problemy peredatchi informatsii 1964, 4, 26-31. MR 33 no 5398.

4. Comparaison des bruits additifs arbitraires selon l'efficacité de leur détection et correction (in Russian) Problemy peredatchi informatsii 1965, 3, 29-38. English translation in Problems of Information Transmission I(3), The Faraday Press Inc. MR 33 no 7191. [link]

5. Codage dans les conditions d'un bruit additif arbitraire (in Russian), Moscou, 1965. These de Canditat de sciences physico-mathématiques, Academie des Sciences de l'URSS (diplôme MFM no 004692)

6. Problème de la comparaison des bruits additifs (in Russian). Recueil: Systèmes optimaux; méthodes statistiques, Exposés de la 2o conférence d'Union Soviétique sur la gestion automatique, 1967, Odessa, Editions Naouka, 373-376.

7. Codes maximums equidistants de grande longueur (in Russian) Exposes de la 2o conference d'Union Sovietique sur la theorie du codage et ses applications, 1966, Moscou-Bakou (in Russian), 75-78.

8. Applied combinatorial mathematics (preface and translation into Russian). Editions ``Mir'', 1968, Moscou. [link]

9. Propriétés linéaires métriques des codes binaires, Exposés de la 4o Conférence d'Union Soviétique sur la Théorie du codage et de la transmission de l'information, 1969, Moscou-Tachkent (in Russian), 77-85.

1973

10. On minimal number of terms in representation of natural numbers as a sum of Fibonacci numbers. Preprint: Schriften zur inf. und angew. math. Rein.-West. Tech. Univ. Aachen 1973, 4. The Fibonacci Quart. 15-3, 1977, 237-238. MR 57 no 9643.

11. Une propriete extremal des plans projectifs finis dans une classe de codes equidistants. Discrete Mathematics 6, 1973, 343-352. MR 48 no 10637. [link]

13. Matrices des formes quadratiques non-négatives pour des arguments binaires, C.R. Acad. Sci. Paris, Série A-B, 1973, A873-A875. MR 49 No 339. [link]

16. Quelques travaux sur la combinatoire et la théorie du codage algébrique. Thése de doctorat d'Etat (Université de Paris-VI, 1973). CNRS, A.O. no 9241.

1974

12. Bref compte rendu des resultats lies au probleme de la comparison des bruits additifs avec un nombre donne de combinaisons de bruits, Lecture Notes in Mathematics 398, Th'eories de l'Information, Springer-Verlag, Berlin - New York, 1974, 118-125. MR 51 no 5146. [link]

15. Solution d'un probleme de Erdos-Lovasz. Journal Combinatorial Theory B 16, 1974. MR 49 no 2404. [link]

17. Problemes de l'existence de (H1; H2,b)-hypergraphes. Cahiers du C.E.R.O., Bruxelles, vol. 17, no 2-3-4, 1975, 185-190. MR 54 no 10082.

19. (0,1)-matrics M-limitées à N-structure donnee, Abstract in Proc of the Int. Congress of Math. 1974, Vancouver.

1975

14. Racine minimum d'un groupe abélien élémentaire. Canadian Journal Math. 27, 1975, 819-826. MR 52 no 5442. [link]

18. Extension de quelques themes sur les densites de series d'elements de N à des series d'ensembles finis d'elements de N (with P. Erdos), Discrete Mathematics 12, 1975, 295-308. MR 55 no 5569. [link][link]

21. The best additive arbitrary noises with a given number of elements, Res. Report, CORR 75/20, University of Waterloo, 1975.

23. Codage dans les conditions d'un bruit additif arbitraire. Publications CRM-519, Univ. Montréal, 1975, 1-70.

29. There exists only finite number of tight t-designs, Utilitas Math. 8, 1975. MR 56 no 8389.

1976

20. Matrices dont deux lignes quelconques coïncident dans un nombre donné de positions communes, Journal Combinatorial Theory A, 20, 1976, 306-318. MR 53 no 10612. [link]

22. Propriétés des codes de Goppa (with P. Camion), Revue du CETHEDEC, 47, 1976, 75-82. MR 54 no 12351.

28. Room squares and equidistant arrays (with R. Mullin and S. Vanstone), Ars Combinatoria 2, 1976, 235-244, MR 55 no 141.

32. Perfect generalized packing as a generalisation of simple t-design and matroid-design, Actes du Colloque Int. du CNRS sur la Combinatoire, Paris-Orsay, 1976, 97-100. Notices of AMS, 24-1, 1977. MR 81 g no 05043. [link]

35. Codes parfaits (with G. Cohen), Revue de CEDETEC, 49 (1976), 35-44. MR 55 no 12287.

1977

30. Some results related to generalized Varshamov-Gilbert bound (with F. Hoffman), I.E.E.E. IT July 1977, 517-518. MR 58 no 26517.

31. Maximum number of permutations with given minimal or maximal distance (with P. Frankl), Journal Combinatorial Theory A 22 (1977), 352-360. MR 55 no 12534. [link]

34. On circulant codes with prescribed distances (with P. Eades), Bull. Australian Math. Society, 16-3 (1977), 361-369. MR 56 no 5328.

39. Decodage des codes de permutations (with G. Cohen) Colloques Int. du CNRS No 276, Théorie de l'information, Cachan 1977, 203-207. [link]

41. On permutation group codes (with G. Cohen), Conférence I.E.E.E. Itaca, 1977. Notices of AMS, 24-5, 1977, p. A-420.

43. On perfect matroid-designs, Proc. of Symposium on Construction and Analysis of Designs, Kyoto University (Japan), 1977, 98-108. French translation in Colloque Math. Discretes: Codes et hypergraphes, Bruxelles, 1978. Cahiers C.E.R.O. Vol. 20, 3-4, 1978, 351-358. MR 80 k no 05033.

1978

24. Combinatorial problems on subsets and their intersections (with P. Erdös and N.M. Singhi), Advances in Math Supp. Stud. vol. 1, 1978, 259-265. MR 80 e no 05006. [link]

25. On intersection proprieties of the system of finite sets (with P. Erdös and P. Frankl). V Hungarian conference on Combinatorics, 1976. Proc. London Math. Soc. (3) 36, 1978, 369-384. MR 57 N0. 16096. [link]

26. Orthogonal systems (with R. Mullin and S. Vanstone), Aequationes Math. 17, 1978, 322-330. MR 58 no 21711. [link]

37. Some remarks on combinatorial metric spaces and association schemes (with S. Foldes), SEA Bull. Math. 2, 1978, 26-28. MR. 83 f no 05013.

40. Bounds for permutation arrays (with S. Vanstone), Journal Stat. Plan. and Inference 2, 1978, 197-209. MR 58 no 16346. [link]

44. Intersection-set patterns: linear programming approach, application to statistics (in Japanese), Journal Japon Oper. Research Society, 1978, 50-60.

47. Approximation of PG(2,n) by sharply edge-transitive digraphs (with L. Babai), l'exposé in Second Int. Conference on Comb. Mathematics, 1978, The New York Academy of Sciences.

50. Permutation geometry, Abstract in Proc. of the Int. Congress of Math. 1978 Helsinki.

51. Cardinalites de sommets et d'aretes d'hypergraphes satisfaisant certaines conditions sur l'intersection d'aretes (with I.G. Rosenberg) Proc. de Colloque Math. Discretes: Codes et hypergraphes, Bruxelles, 1978 Cahiers C.E.R.O. Vol. 20, 3-4, 1978, 279-286. MR 81 a no 05102. [link]

1979

33. Isometries of the hypergraphs, Proc. of the Conference on Theory of Graphs (Calcutta, 1976) Macmillan Co of India, 1979, 174-189. MR 81 c no 05070. [link]

36. Intersection and dinstance patterns (with I. Rosenberg), Proc. of Conference on Graph theory and related topics, 1979, Academic Press, 133-144. MR. 80 k no 05041.

38. Coding with permutations (with I. Blake, and G. Cohen) Inf. and Control, 43, 1979, 1-14. MR 80 k no 05020. [link]

49. On maximal permutation anticodes, Proc. of 10 S.E. Conference on Combinatorics, Boca Raton 1979, 381-392. MR 81 g no 05006. [link]

52. On permutation geometries (with P. Cameron). Journal of London Math. Society (2) 20, 1979, 373-386. MR. 81 i no 05049. [link]

53. Distances invariantes et L-cliques sur certains demi-groupes de relation binaires (with G. Cohen), Math. et Sci. Hum. 67, 1979, 46-69. MR. 82 e no 92060. [link]

60. Combinatorics 1979, Annals of Discrete Math. Vol. 8-9 (edited with I.G.Rosenberg) North Holland Publ. Co. Amsterdam and New York. MR 81 k no 05001. [link]

1980

42. Generalized intersection patterns and two symbols balanced arrays (with I. Rosenberg). Journal Linear Algebra and Appl. 30, 1980, 9-40. MR 81 g no 05039. [link]

46. Some properties of perfect matroid-designs (with N. Singhi), Proc. of Symposium on Comb. Mathematics, 1978, Fort Collins, Colorado, Annals of Discrete Math. 6 (1980) 57-76. MR 82 d no 05047. [link]

48. On permutation cliques, Proc. de Symposium on Comb. Mathematics, 1978, Fort Collins, Colorado) Annals of Discrete Math. 6 (1980) 41-55. MR 81 m no 05006. [link]

55. The geometric structure of affine triple systems derived from some commutative Moufang loop and a new MDPB association scheme (with N. Hamada), Stat. Research group, Hiroschima Univ. Techn. Report no 18, 1-44, 1980.

56. Espaces metriques plongeables dans un hypercube: aspects combinatoires (with P.Assouad), Proc. of France-Canada meeting (1979, Montreal) Annals of Discrete Math. 8, 1980, 197-210. MR 82 h no 05042. [link]

57. Some metrical problems on Sn (with G. Cohen), Proc. of France-Canada meeting (1979, Montréal). Annals of Discrete Math. Vol 8, 1980, 211-219. MR 82 h no 05109. [link]

59. Finite commutative Monfang loops, related matroids and association scheme. Proc. of conference on Combinatorics, 1979, Arcata, Calif. (Humbolt University), Utilitas Math. 1980, 3-15. MR. 81 m no 05043.

1981

27. Recent results on (r,l)-designs and related areas (with R. Mullin and S. Vanstone), Rev. Tec. Ing., Univ. Zulia vol. 4, s. 1 y 2, 1981, 139-158. MR 83 c no 05016.

45. Codes correcting an arbitrary set of errors (with M. Karpovsky and V. Milman), Revue du CETEDEC, 66, 1981, 65-76 MR 83 c no 94019. [link]

62. Every large equidistant set of (0,+1,-1)-vectors forms a sunflower (with P. Frankl), Combinatorics 3, 1981, 225-231. MR 82 m no 05034. [link]

63. Some generalizations of perfect codes (with G. Cohen and P. Frankl) Conference of I.E.E.E. 1981, Santa-Monica, Calif. 150-151.

64. Sharp edge-transitive permutation groups (with L. Babai, P. Cameron and N. Singhi), Journal of Algebra. 83, 1981, 573-585. MR 83 c no 20004. [link]

1982

58. Metric subspaces of L1 (with P. Assouad), Publications de ORSAY 82.03, 1982, 1-51. MR 84 g no 51024. [link]

61. Some maximal equidistant permutation arrays (with S. Vanstone), Annals of Discrete Math. 12, 1982, 87-94. MR 81 m no 05052. [link]

69. On the vector space of 0-configurations (with P. Frankl) Combinatorica 2, 1982, 371-375. MR 84 i no 05003. [link]

1983

65. On t-distance sets of (0,+1,-1)-vectors (with P. Frankl), Geometriae Dedicata 14, 1983, 292-301. MR 85 b no 05050. [link]

66. Some new generalizations of sharply transitive groups and sets, Annals of Discrete Math. 18, 1983, 295-314. MR 81 g no 05010. [link]

68. Erdos-Ko-Rado theorem - 20 years later (with P. Frankl) SIAM Journal Alg. and Discrete Methods 4, 1983, 419-431. MR 86 a no 05004. [link]

72. Orthogonal permutation arrays and related structures (with A. Bonisoli), Acta Univ. Carolinae 24, 1983, 23-38. MR 85 d no 05053.

73. On functions of strength t (with P. Frankl and N. Singhi), Combinatorica 3, 1983, 331-339. MR 85 b no 05057. [link]

1984

67. Intersection and distance patterns (with I.G. Rosenberg) Utilitas Math. 25, 1984, 191-214. MR 85 j no 05010. [link]

70. Small pentagonal spaces, Rend. Seminario Mathematico di Brescia 7, 1984, 269-282. MR 86 a no 51037. [link]

71. A-B-patterns and general balanced arrays, Proc. of Comb. Conference, (Calcutta, 1982) in honour of S.S. Shrikhande, Indian Stat. Institute, Calcutta, 1984, 101-117. MR 87 h no 05053.

76. Injection geometries (with P. Frankl) Journal of Combinatorial Theory B 37, 1984, 31-40. MR 86 a no 05033. [link]

1985

74. Sections on quadrics as large intersection families (with P. Frankl and J.W.P. Hirschfeld), Proc. London Math. Soc. (3) 50, 1985, 405-425. MR 86 i no 51012. [link]

78. Bounds on the maximum number of vectors with given scalar products (with P. Frankl), Proc. of Amer. Math. Soc. 95 (1985), 323-329. MR 86 k no 52009. [link]

84. Codes linéaires et courbes modulaires par S. Vladut et Yu. Manin (preface and translation into French, with D. Le Brigand), Publ. Math. de l'Univ. Pierre et Marie Curie, 72, 1985.

1986

79. On squashed designs (with P. Frankl), J. Discrete and Comput. Geometry 1, 379-390 (1986). MR 88 b no 05024. [link]

80. General convolutions motivated by designs (with I.G. Rosenberg), Acta Univ. Carolinae 27 (1986) 49-66. MR 88 b no 05039. [link]

81. On permutation arrays, transversal seminets and related structures (with T. Ihringer) Annals of Discrete Math. 30 (1986) 185-202. MR 87 k no 05022. [link]

85. On bouquets of matroids and orientation (with K. Fukuda), RIMS Kokyuroku 587 (1986) 110-129. [link]

87. Full paratransversal systems, Preprint R750522-IT (1986), Institute of Mathematics, Academia Sinica.

1987

75. Sharp sets of permutations (with P. Frankl and P. Cameron.) Journal Algebra 111, 1987, 220-247. MR 89 c no 20011. [link]

83. Bouquets of matroids, d-injective geometries and diagramms (with M. Laurent), Journal of Geometry 29 (1987) 12-35. MR 89 d no 51006. [link]

86. A Helly type theorem for hypersurfaces (with P. Frankl), Journal of Combinatorial Theory A 45 (1987), 27-30. MR 88 e no 52012. [link]

89 The classification of finite connected hypermetric spaces (with P.Terwilliger), Graphs and Combinatorics 3, 1987, 293-298. MR 88 i no 05074. [link]

1988

82. Rigid pentagons in hypercubes (with N.M. Singhi) Graphs and Combinatorics 4, 1988, 31-42. MR 89 e no 52019. [link]

88. Intersection theorems in permutation groups (with P.J.Cameron and P. Frankl), Combinatorica 8 (1988) 249-266. MR 90 f no 20004. [link]

90. Infinite geometric groups and sets (with P.J.Cameron and N.Singhi), London Math. Soc. Lect. Notes Ser. 131, Cambridge University Press (1988) 54-61. MR 91 f no 20005. [link]

92. Characterization of (2(q+l)2,2;t,q)-min-hypers in PG(t,q) with t>2,q>4 and its applications to error-correcting codes (with N.Hamada), Discrete Mathematics 71 (l988) 219-23l. MR 89 j no 51007. [link]

93. Characterization of (n,k,d;q)-codes meeting the Griesmer bound for given integers with k>2, q>4 and d = qk-1 - qa - qb - qc (with N. Hamada), Bulletin of the Institute of Mathematics, Academia Sinica, l6 (l988) 321-338. MR 91 c no 51013. [link]

101. M. Deza, P. Frankl and I.G. Rosenberg (eds.), Algebraic, Extremal and Metric Combinatorics 1986, London Mathematical Society Lecture Notes series 131, Cambridge University Press, 1988. MR 91 a no 00021. [link]

1989

91. Characterization of some min-hypers and its applications to error-correcting codes and factorial designs (with N. Hamada), Journal of Statistical Planning and Interference 22 (1989) 323-336. MR 90 f no 94040. [link]

96. A survey of recent works with respect to a characterization of an (n,k;d,q)- code meeting Griesmer bound using a min-hypers in a finite projective geometry (with N. Hamada), in "Combinatorial designs - a tribute to H.Hanani" Annals of Discrete Mathematics 77 (1989) 75-87. MR 91 a no 94030. [link]

97. Bouquets of geometric lattices: some algebraic and topological aspects (with M. Laurent), Discrete Math. 75 (1989) 279-313. MR 91 c no 05056. [link]

99. On the number of elements which are not n-th powers in finite group (with E. Bannai, P. Frankl, A.C. Kim, M. Kiyota), Communications in Algebra 17-11 (1989) 2865-2870. MR 90 j no 20048. [link]

1990

77. Combinatorial structures arising from commutative Moufang loops (with G. Sablidussi), chapter in ``Quasigroups and Loops: Theory and Applications'', Helderman Verlag 1990, 151-160. MR 93 g no 20133. [link]

94. Loops of clutters (with K.Fukuda), IMA Proceedings 20 "Coding Theory", Springer-Verlag (1990) 72-92. MR 91 d no 05036. [link], [link]

98. Metric transform and Euclidean embeddings (with H. Maehara), Transactions of the AMS 317 (1990) 661-671. MR 90 e no 51025. [link]

100. Positive independence and enumeration of codes with given distance pattern (with D.K Ray-Chaudhuri and N.M. Singhi), IMA Proceedings 20 "Coding Theory" (1990) Springer-Verlag, 93-101. MR 92 g no 05007. [link]

104. On d-transversal planes (with M. Laurent and T. Huang) in ``Algebraic structures and number theory'' (S.P.Lam and K.P.Shum eds.) World Scientific (1990) 38-64. MR 92 d no 51009. [link]

113. Bouquets of matroids and F-squashed geometries (with M. Laurent and A. Pasini), Report 90661-OR, Forschungsinstitut fur Diskrete Mathematik, University of Bonn (1990), 1-113. [link]

1991

95. Characterization of (2va+1 + 2vb+1, 2va + 2vb; t, q)-min-hypers in PG (t,q) and its applications to error-coorecting codes (with N.Hamada), Discrete Mathematics 93 (1991) 19-33. MR 93 i no 51019. [link]

102. The cut cone, l1-embeddability, complexity and multicommodity flows (with D. Avis), Networks 21 (1991) 595-617. MR 92 h no 90046. [link]

111. The symmetries of the cut polytope and of some relatives (with V.P. Grishukhin and M. Laurent), Applied Geometry and Discrete Mathematics, the "Victor Klee Festschrift" (P. Gritzmann and B. Sturmfels eds.) DIMACS Series in Discrete Mathematics and Theoretical Computer Science 4 (1991) 205-220. MR 92 e no 52019. [link]

112. On symmerties of loops of clutters (with I.Faradjev and K.Fukuda). Proceedings of All-Union Seminar on Discrete Mathematics (in Russian) (1990).

115. Complete descriptions of small multicut polytopes (with M. Grötschel and M. Laurent), Applied Geometry and Discrete Mathematics, the "Victor Klee Festschrift" (P. Gritzmann and B. Sturmfels eds.) DIMACS Series in Discrete Mathematics and Theoretical Computer Science 4 (1991) 221-252. MR 92 f no 52021. [link], [link]

123. A survey on the known facets of the cut cone (with M. Laurent), Report 91722-OR, Forschungsinstitut für Diskrete Mathematik, University of Bonn (1991), 1-88. [link]

1992

54. Perfect matroid-designs, chapter in ``Matroid Applications'' ed. N. White, Cambridge University Press, Encyclopedia of Math. and its Appl., 40, 1992, 54-72. MR 93 d no 05037. [link]

103. Facets for the cut cone I (with M.Laurent), Mathematical Programming 56 (1992), 121-160. MR 94 c no 90073. [link]

105. Facets for the cut cone II: clique-web inequalities (with M. Laurent), Mathematical Programming 56 (1992), 161-188. MR 94 c no 90074. [link]

108. Clique-web facets for multicut polytopes (with M. Grötschel and M. Laurent), Mathematics of Operations Research 17 (1992), 981-1000. MR 94 c no 90103. [link]

109. New results on facets of the cut cone (with M. Laurent), Journal of Combinatorics, Information and System Sciences 17, Nos. 1-2 (1992) 19-38. MR 94 e no 05139. [link]

110. The Fibonacci and parachute inequalities for l1-metrics (with M. Laurent), The Fibonacci Quaterly 30 (1992) 54-67. MR 93 c no 51018. [link]

118. Extreme hypermetrics and L-polytopes (with V.P. Grishukhin and M. Laurent), in Sets, Graphs and Numbers (Budapest 1991), volume 60 of Colloquia Mathematica Societatis János Bolyai (1992) 157-209. MR 94 f no 52015. [link]

124. Extension operations for cuts (with M. Laurent), Discrete Mathematics 106-107 (1992) 163-179. MR 93 i no 05046. [link]

1993

106. The inequicut cone (with K. Fukuda and M. Laurent), Discrete Mathematics 119 (1993), 21-48. MR 94 j no 05135. [link]

114. The hypermetric cone is polyhedral (with V.P. Grishukhin and M. Laurent), Combinatorica 13 (1993) 397-411. MR 95f no 52013. [link]

116. The even and odd cut polytopes (with M. Laurent), Discrete Mathematics 119 (1993) 49-66. MR 94 j no 52018. [link]

117. The cut cone III: on the role of triangle facets (with M. Laurent and S. Poljak), Graphs and Combinatorics, 9 (1993) 135-152. MR 94 e no 05249, 94 c no 90075. [link]

119. The cut cone: simplicial faces and linear dependencies (with M. Laurent), Bulletin of the Institute of Mathematics, Academia Sinica, 21 (1993) 143-182. MR 94 m no 52006. [link]

122. Variety of hypercube embeddings of the equidistant metric and designs (with M. Laurent), Journal of Combinatorics, Information and System Sciences 18 (1993) 293-320 MR 96 e no 51005 [link]

125. Hypermetric graphs (with V.P.Grishukhin), The Quarterly Journal of Mathematics Oxford 2 (1993) 399-433. MR 94 m no 05071. [link]

134. Measure aspects of cut polyhedra: l1-embeddability and probability (with M. Laurent), Report LIENS 93-17, Ecole Normale Supérieure Paris (1993), pp. 1-60. [link]

1994

107. Collapsing and lifting for the cut cone (with C. De Simone and M. Laurent), Discrete Mathematics 127 (1994) 105-130. MR 95 d no 05130. [link]

120. Projecting a simplex onto another one (with H.Maehara), European Journal of Combinatorics 15 (1994) 13-16. MR 95 b no 52017. [link]

126. l1-rigid graphs (with M. Laurent), Journal of Algebraic Combinatorics 3 (1994) 153-175. MR 95 b no 05176. [link]

127. Applications of cut polyhedra (with M. Laurent), Journal of Computational and Applied Mathematics 55 (1994), 191-216 (I) [link]et 217-247 (II) MR 96 e no 52030 [link]

129. Lattice points of cut cones (with V.P. Grishukhin), Combinatorics, Probability and Computing 3 (1994) 191-214. MR 95 i no 52017. [link]

130. A few applications of negative type inequalities (with H. Maehara), Graphs and Combinatorics 10 (1994) 255-262. MR 95 j no 05116. [link]

133. The ridge graph of the metric polytope and some relatives (with A. Deza), in T. Bisztriczky, P. McMullen, R. Schneider & A. Ivic Weiss (eds.), ``Polytopes: Abstract, Convex and Computational'' Kluwer, Dordrecht-Boston-London (1994) 359-372. MR 96 h no 52010. [link]

137. Cut polytope and its lattices (with V.P. Grishukhin), Report LIENS 94-8, Ecole Normale Supérieure Paris (1994). [link]

138. Hypercube embedding and designs (with M. Laurent), Report LIENS 94-7, Ecole Normale Supérieure Paris (1994), pp. 1-49. [link]

145. Embedding of graphs (with M. Laurent), Report LIENS 94-6, Ecole Normale Supérieure, Paris (1994).

1995

121. Hypercube embedding of generalized bipartite metrics (with M. Laurent), Discrete Applied Mathematics 56 (1995) 215-230. MR 96 b no 52034 [link]

128. L-polytopes and equiangular lines (with V.P. Grishukhin), Discrete Applied Mathematics 56 (1995) 181-214. MR 97 a no 52019. [link]

131. Hypermetrics in geometry of numbers (with V.P. Grishukhin and M. Laurent), in W. Cook, L. Lovász and P. Seymour (eds.), The Special Year on Combinatorial Optimization, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 20 (1995) 1-110. MR 96 g no 52032. [link]

132. On lattice-free polytopes and their diameters (with S. Onn), DIMACS Report 93-40. Journal of Discrete and Computational Geometry 13 (1995) 59-75. MR 96 c no 52027 [link]

135. On the skeleton of the dual cut polytope (with A. Deza), H. Barcelo & G. Kalai (eds.), AMS Series Contemporary Mathematics vol. 178 (1994) 101-111. MR 96 g no 52022. [link]

141. Skeletons of some relatives of n-cube (with A. Deza), Proceedings of ``Operation Research, Berlin 1994'', in U. Derigs, A. Bachem and A. Drexl (eds.) Springer-Verlag (1995) 81-85. MR 96 k no 52009. [link]

143. Delaunay polytopes of cut lattices (with V.P. Grishukhin), Linear algebra and Applications 226-228 (1995) 667-686. MR 96 f no 52021. [link]

144. The combinatorial structure of small cut and metric polytopes (with A. Deza), in Combinatorics and Graph Theory 95, T. H. Ku ed, World Scientific, Singapore, 1995, 70-88. MR 98 f no 90051. [link]

149. The Hilbert basis of the cut cone over the complete graph on 6 vertices (with F. Laburthe and M. Laurent), Report LIENS 95-7, Ecole Normale Supérieure Paris (1995). [link]

151. Two-graphs on 36 points from the even unimodular lattices E8 + E8 and D16+ (with V.P. Grishukhin), Report LIENS 95-9, Ecole Normale Supérieure Paris (1995). [link]

1996

139. Complementary l1-graphs and related combinatorial structures (with T. Huang), in M. Deza, R. Euler and Y. Manoussakis eds. Combinatorics and Computer Science, Lecture Notes in Computer Science 1120 Springer-Verlag, Berlin (1996) 74-90 MR 97 m no 05220. [link]

140. l1- embeddability of some block graphs and cycloids (with T. Huang), Bulletin of the Institute of Mathematics, Academia Sinica 24-2 (1996) 87-102. MR 97 c no 05039. [link]

142. Bounds on the covering radius of a lattice (with V.P. Grishukhin), Mathematica 43 (1996) 159-164. MR 98 b no 11074. Erratum, Mathematica 45 (1998) 209. MR 99 h no 11073. [link]

146. Cut lattices and equiangular lines (with V.P. Grishukhin). in "Discrete Metric Spaces", European Journal of Combinatorics 17 (1996) 143-156 MR 97 k no 52008. [link]

147. A note on l1-rigid planar graphs (with J. Tuma). In "Discrete Metric Spaces", European Journal of Combinatorics 17 (1996) 157-160. MR 96 m no 05061. [link]

148. Recognition of the l1-graphs with complexity O(nm) and football in hypercube (with S. Shpectorov), in "Discrete Metric Spaces", European Journal of Combinatorics 17 (1996) 279-289. MR 97 a no 05071. [link]

153. On skeletons, diameters and volumes of metric polyhedra (with A. Deza and K. Fukuda), in M. Deza, R. Euler and Y. Manoussakis eds. Combinatorics and Computer Science, Lecture Notes in Computer Science 1120, Springer-Verlag, Berlin (1996) 112-128. MR 98 c no 90107. [link]

154. Isometric embeddings of semi-regular polyhedra, plane partitions and their duals into hypercubes and cubic lattices (with M. Shtogrin), Uspekhi Math. Nauk = Russian Math.Surveys, 51-6 (1996) 199-200 (1193-1194). MR 98 d no 52012. [link]

158. Combinatorics and Computer Science (with R.Euler and Y.Manoussakis), Lecture Notes in Computer Science 1120, Springer-Verlag, Berlin (1996). MR 97 k no 00013. [link]

1997

152. A zoo of polytopal l1-graphs (with V.P. Grishukhin), Bulletin of the Institute of Mathematics, Academia Sinica, 25-3 (l997) 181-231. MR 99 b no 05036. [link]

155. The skeleton of 120-cell is not 5-gonal (with V.P. Grishukhin), Discrete Mathematics 165-166 (1997) 205-210. MR 98 d no 52013. [link]

159. Geometry of cuts and metrics (with M. Laurent), Algorithms and Combinatorics 15 Springer-Verlag, Berlin (1997) 600 pages. MR 98 g (MR146088)no 52001. [link]

157. A clin d'oeil on l1-embeddable planar graphs (with V. Chepoi and V.P. Grishukhin) Discrete Applied Mathematics 80 (1997) 3-19. MR 98 j no 05057. [link]

160. The destiny of chess, Variant Chess, 3-23 (1997) 60. [link]

164. Embedding of graphs into hypercubes and cubic lattices (with M. Shtogrin), Uspechi Math.Nauk=Russian Math.Surveys, 52-6 (1997) 155-156 (1292-1293). [link]

173. Discrete Metric Spaces, Proc. of Int. Conference, Bielefeld 1994. Edited by W.Deuber and M.Deza, European Journal of Combinatorics 17 (1996), no. 2-3. MR 96 j no 05003. [link]

1998

136. Odd systems of vectors and related lattices (with V.P. Grishukhin), Acta Applicandae Math. 52 (1998) 31-47. MR 99 k no 11101. [link]

150. Once more about Steiner Triple Systems on 15 points, Journal of Statistical Planning and Inference 72 (1998) 165-184. MR 99 k no 05033. [link]

156. Fullerenes and coordination polyhedra versus half-cubes embeddings (with A. Deza and V.P. Grishukhin), Discrete Mathematics 192 (1998) 41-80. MR 99 k no 92049. [link]

161. Metrics on permutations, a survey (with T. Huang), Journal of Combinatorics, Information and System Sciences, Special Issue in honor of J. Srivastava, 23 (1998) 173-185. [link]

162. Voronoi L-decomposition of PSDn and the hypermetric correlation cone (with V.P.Grishukhin), Report LIENS 97-5, Ecole Normale Supérieure Paris (1997), in Voronoi's impact on modern science, Book 2, Institute of Mathematics, Kyiv (1998) 75-79. http://www.imath.kiev.ua./~syta/vorbook.html [link]

163. Embedding of skeletons of Voronoi and Delone partitions into cubic lattices (with M.Shtogrin), Report LIENS 97-6, Ecole Normale Sup\'erieure Paris (1997), in Voronoi's impact on modern science, Book 2, Institute of Mathematics, Kyiv (1998) 80-84. http://www.imath.kiev.ua./~syta/vorbook.html [link]

175. Discrete Metric Spaces, Proc. of Int. Conference, Lyon 1996. Edited by W.Deuber, M.Deza and B.Leclerc, Discrete Mathematics 192 Volumes 1-3 (1998). MR 99 f no 00015. [link]

177. Polycycles (with M.Shtogrin), Voronoi's conference on analytic number theory and space tilings, Kyiv, September 7-14, 1998, Abstracts, Kyiv - 1998, pp.19-23.

1999

167. l1-embeddable polyhedra (with V.P.Grishukhin), in Algebra and Combinatorics, Int. Congress ICAC '97 Hong Kong, ed. by Kar-Ping Shum, Springer-Verlag (1999), pp. 189-210, MR2000j no 05020. [link]

170. Hexagonal sequences (with V.P.Grishukhin), pp. 47-68 in ``General Algebra and Discrete Mathematics'' (Proc. of the Conference, Potsdam, 1998). Edited by K.Denecke and H.J.Vogel, Shaker-Verlag, Aachen 1999. [link]

176. Three, four and five-dimensional fullerenes (with M.I.Shtogrin), papers/mathematics/9906035 of LANL archive, Southeast Asian Bulletin of Mathematics 23 9-18 (1999). MR2001k no 05016. [link]

181. The Algebra and Geometry of Designs, edited by C.J.Colbourn and M.Deza, Vol. 86-2 of the Journal of Statistical Planning and Inference, Special Issue in honour of R.G.Stanton. [link]

185. Primitive polycycles and helicenes (with M.Shtogrin), Uspechi Math. Nauk = Russian Math.Surveys {\bf 54-6} (1999) 159--160 (1238--1239). MR2001j no 05039. [link]

186. Infinite primitive polycycles (with M.Shtogrin), Uspechi Math. Nauk = Russian Math.Surveys, {\bf 55-1} (2000) 179--180 (169--170). MR2001b no 05119. [link]

2000

166. Hypermetric two-distance spaces (with V.P.Grishukhin), Proc. of Int. Conference on Combinatorics, Information Theory and Statistics, Portland, 1997. Journal of Combinatorics, Information Theory and System Science, {\bf 25/1-4} (2000) 89--132. MR2002a no 05084. [link]

169. Embedding of chemical graphs into hypercubes (with M.Shtogrin), Math. Notes, {\bf 68-3,4} (2000) 295--305. MR2001m no 05248. [link]

171. Uniform partitions of 3-space, their relatives and embedding (with M.Shtogrin), papers/mathematics/9906034 of LANL archive, European Journal of Combinatorics, Special Issue `` Discrete Metric Spaces'', {\bf 21-6} (2000) 807--814. MR 01 f no 52035. [link]

172. More icosahedral fulleroids (with O.Delgado), DIMACS Series in Discrete Mathematics and Theoretical Computer Science {\bf 51} (2000) 97--115. MR 01 i no 92068. [link]

174. Embedding the graphs of regular tilings and honeycombs into the graphs of hypercubes and cubic lattices (with M.I.Shtogrin) in ``Arrangements, Tokyo 1998'', Series Advanced Studies in Pure Mathematics, Math. Society of Japan (2000) 73--92. MR 01 i no 52031. papers/mathematics/9906062 of LANL archive, [link]

178. n-semimetrics (with I.G.Rosenberg), European Journal of Combinatorics, Special Issue "Discrete Metric Spaces'', {\bf 21-6} (2000) 797--806. MR2001m no 51025. [link]

179. Lists of face-regular polyhedra (with G.Brinkmann), Report LIENS 98-13, Ecole Normale Superieure Paris (1998). Journal of Chemical Information and Computer Science {\bf 40-3} (2000) 530--541. [link]

180. Quasi-semi-metrics, directed multicuts and related polyhedra (with H.Panteleeva). European Journal of Combinatorics, Special Issue `` Discrete Metric Spaces'', {\bf 21-6} (2000) 777--796. MR2001f no 90076. [link]

182. Fullerenes as tilings of surfaces (with P.W.Fowler, A.Rassat and K.M.Rogers), Report LIENS 99-4, Ecole Normale Superieure Paris (1999). Journal of Chemical Information and Computer Science {\bf 40-3} (2000) 550--558. [link]

184. Combinatorics and Optimisation, Special Issue (Volume {\bf 235-2}) of Theoretical Computer Science, edited by M.Deza, Y.Manoussakis and J.M.Steyaert, 2000. MR2000m no 05004. [link]

189. Pentaheptite modifications of the graphite sheet (with P.W.Fowler, M.Shtogrin and K.Vietze). Journal of Chemical Information and Computer Science {\bf 40-6} (2000) 1325--1332. [link]

2001

168. Face-regular bifaced polyhedra (with V.P.Grishukhin), Report LIENS 97-10, Ecole Normale Superieure Paris (1997), Journal of Statistical Planning and Inference, {\bf 95/1-2} Special Issue in honor of S.S.Shrikhande (2001) 175--195. MR2002b:52014. [link]

187. On equicut graphs (with D.Pasechnik), Multi.Val.Logic, Special Issue in honour of I.G.Rosenberg {\bf 7} (2002) 363--377. [link]

191. Allowed boundary sequences for fused polycyclic patches and related algorithmic problems (with P.W.Fowler and V.P.Grishukhin), Journal of Chemical Information and Computer Science {\bf 41-2} (2001) 300--308. [link]

193. Addition patterns, codes and contact graphs for fullerene derivatives (with P.W.Fowler and B. de La Vaissiere), Journal of Molecular Modelling and Simulation {\bf 19-2}, Special Issue in honor of E.Osawa (2001) 199--204. [link]

195. Special Issue of Theoretical Computer Science (Volume {\bf 263/1-2}) edited with G.Chang, Y.Manoussakis and J.M.Steyaert (2001). [link]

196. Polycycles: symmetry and embedding (with M.Shtogrin), Uspechi Math. Nauk = Russian Math.Surveys {\bf 55-6} (2000) 129--130 (1146--1147). MR2002d:05074. [link]

197. Geometrya razrezov i metrik (Russian translation of my book with M.Laurent, Springer-Verlag, Berlin 1997, with corrections, additions and new introduction; 735 pages), MCNMO, Moscow 2001. [link]

198. Clusters of cycles (with M.Shtogrin), Journal of Geometry and Physics {\bf 40/3-4} (2001) 302--319. MR2002i:05069. [link]

199. Codes in Archimedean and Catalan polyhedra (with P.W.Fowler and B. de la Vaissiere), Journal of Chemical Information and Computer Science {\bf 41} (2001) 376--386. [link]

2002

165. A generalization of strongly regular graphs (with T.Huang), Report LIENS 97-13, Ecole Normale Superieure Paris (1997), Southeast Asian Bulletin of Mathematics {\bf 26} (2002) 193--201. MR2004m:05270. [link]

183. Mosaics, embeddable into cubic lattices (with M.Shtogrin), Discrete Mathematics {\bf 244/1-3} (2002) 43--53. MR2002k:05065. [link]

188. Face-regular polyhedra and tilings with two combinatorial types of faces, in "Codes and Designs", OSU Research Institute Publ. {\bf 10} (2002) 49--71. MR2003m:52013. [link]

192. Quadratic forms of rank 1, closed zones and laminae (with V.P.Grishukhin), Journal de Theorie des Nombres de Bordeaux {\bf 14} (2002) 103--112, MR2003k:11115, papers/math.GT/0004004 of LANL archive (2000). [link]

194. Maps of p-gons with a ring of q-gons (with V.P.Grishukhin), Bulletin of Institute of Combinatorics and its Applications {\bf 34} (2002), 99--110, MR2002k:05164, papers/math.CO/0005269 of LANL archive (2000). [link]

200. Mosaics and their embeddings (with M.Shtogrin). Isvestya of Russian Academy of Sci. Ser. Math. {\bf 66-3} (2002) 3--22 (in Russian). [link]

201. Central Circuits Coverings of Octahedrites and Medial Polyhedra (with T.Huang and K.W.Lih), Journal of Math. Research and Exposition {\bf 22-1} (2002) 49--66. MR2003f:52008. [link]

202. Extremal and non-extendable polycycles (with M.Shtogrin), Trudy Steklov MIAN (in Russian), translated in Proc. Steklov Inst. Math. {\bf 239} (2002) 117-135. MR2004g:05048. [link]

209. Criterion of embedding of (r,q)-polycycles (with M.Shtogrin). Uspechi Math. Nauk = Russian Math. Surveys {\bf 57-3} (2002) 149--150 (589--591). MR2003f:05033. [link]

2003

204. Cones of metrics, hemi-metrics and super-metrics (with M.Dutour), Annales of European Academy of Sciences (2003) 141--162, papers/math.MG/0201011 of LANL archive (2002). [link]

208. Small cones of oriented semimetrics (with M.Dutour and H.Panteleeva), American Journal of Mathematical and Management Sciences {\bf 22--3,4} (2002) 199--225. MR 2004f:52006, papers/math.MG/0111145 of LANL archive (2001). [link]

211. Version of zones and Petri circuits of icosahedral fullerenes and icosadeltahedra (with P.W.Fowler and M.Shtogrin), Journal of Chemical Information and Computer Science {\bf 43} (2003) 595--599. [link]

212. Octahedrites (with M.Shtogrin), Symmetry: Culture and Science {\bf 11--1,2,3,4}, Special Issue "Polyhedra" (2003) 27--64. MR2004i:52006. [link]

213. Lower Bounds for Embedding of Edit Distance into Normed Spaces (with A.Andoni, A.Gupta, P.Indyk and S.Raskhodnikova), Proceedings of SODA'03 (ACM--SIAM Symposium on Discrete Algorithms, January 2003, Baltimore). [link]

215. 4-valent Polyhedra with 2-, 3- and 4-gonal faces (with M.Dutour and M.Shtogrin), in "Advances in Algebra and related Topics" (in memory of B.H.Neumann; Proceedings of ICM Satellite Conference on Algebra and Combinatorics, Hong Kong, 2002), World Scientific (2003) 73--97, MR2005c:2087416, papers/math.GT/0212351 of LANL archive (2002). [link] [link]

205. The hypermetric cone on seven vertices (with M.Dutour), Experimental Mathematics {\bf 12} (2003) 334--440, Mr2005:11099, papers/math.MG/0108177 of LANL archive (2001). [link]

2004

203. Voronoi's conjecture and space tiling zonotopes (with V.P.Grishukhin), Mathematika, {\bf 51}, 2004, 1--10. papers/math.MG/0203124 of LANL archive (2002). [link]

206. Properties of parallelotopes equivalent to Voronoi's conjecture (with V.P.Grishukhin), Proceedings of Int. Conference on Arithmetics and Combinatorics (CIRM--Marseille, 2002), European Journal of Combinatorics, {\bf 25} (2004) 517--533, MR2005f:52036, papers/math.GT/0307170 of LANL archive (2003). [link]

207. Non-rigidity degree of root lattices and their duals (with V.P.Grishukhin), Geometriae Dedicata, {\bf 104} (2004) 15--24, MR2005b:11100, papers/math.GT/0202096 of LANL archive (2002). [link]

214. Zigzags, Railroads, and Knots in Fillerenes (with M.Dutour and P.W.Fowler), Journal of Chemical Information and Computer Science, {\bf 44} (2004) 1282--1293. [link]

218. Goldberg-Coxeter Construction for Bifaced Polyhedra (with M.Dutour), Electronic Journal of Combinatorics, {\bf 11} R20 (2004). MR2004k:05071. [link]

220. Scale-isometric Polytopal Graphs in Hypercubes and Cubic Lattices (with V.P.Grishukhin and M.I.Shtogrin) , World Scientific and Imperial College Press, 2004. MR2051396. [link]

221. On simplicial and cubical complexes with short links (with M.Dutour and M.Shtogrin), Israel Journal of Mathematics {\bf 144} (2004) 109--124, papers/math.MG/0310165 of LANL archive (2003). [link]

224. Archimedean polycycles (with M.I.Shtogrin), Uspechi Mat. Nauk {\bf 59-3} (2004) 165--166 = [link]

225. Addition patterns in carbon allotropes: independence numbers and d-codes in the Klein graph (with L.Bellarosa, P.W.Fowler and E.J.Lijnen), Journal of Chemical Information and Computer Science, {\bf 44} (2004) 1314--1323. [link]

228. Proc. of ComMaC Mini-Workshop on Two-Face Embedding of Graphs and Applications, ed. by J.H.Kwak and M.Deza, Pohang University of Science and Technology, 2004. [link]

230. Similarities and Distances in Data Analysis and Probability Theory (with E.Deza), Research Memorandum {\bf 930} of the Institute of Statistical Mathematics, Tokyo, 2004.

2005

190. Small cones of n-hemimetrics and partitions n-hemimetrics (with I.G.Rosenberg), Discrete Mathematics {\bf 291 (1-3)}, Special Issue in honor of R.Fraisse, (2005), 81--97, papers/math.CO/0005270 of LANL archive (2000). [link]

210. Metrics of constant curvature on polycycles (with M.Shtogrin), Math. Notes {\bf 78-2} (2005) 223--233. [link]

216. Zigzag Structure of Simple Bifaced Polyhedra (with M.Dutour), Special Issue (in memory of W.Deuber) of Combinatorics, Probability and Computing {\bf 14-1} (2005) 31--57, papers/math.MG/0212352 of LANL archive (2002). [link]

217. On volume-measures as hemi-metrics (with M.Dutour and H.Maehara), Ryukyu Math. Journal {\bf 17} (2004) 1--9. [link]

222. Zigzag structure of complexes (with M.Dutour), Special Issue of SEAMS Math. Bull. {\bf 29-2} (2005), 301--320 papers/math.CO/0405279 of LANL archive (2004). [link]

227. Isometric embedding of Wythoff polytopes into cubes and and half-cubes (with M.Dutour and S.Shpectorov), in Proc. COE Workshop on Sphere Packings (Fukuoka 2004), MHF Lecture Notes 2004-1, ed. by E.Bannai (2005) 55--70. papers/math.CO/0407527 of LANL archive (2004). [link]

231. Length measures, scales and exotic distances (with E.Deza), Research Memorandum {\bf 932} of Institute of Statistical Mathematics, Tokyo, 2005.

232. Distances in Cosmology, Astronomy and Geography (with E.Deza), Research Memorandum { \bf 934} of the Institute of Statistical Mathematics, Tokyo, 2005.

233. Graphs $4_n$ that are isometrically embeddable in hypercubes (with M.Dutour and S.Shpectorov), SEAMS Mat. Bull. {\bf 29-3}, 469--484, (2005), papers/math.CO/0411359 of LANL archive (2004). [link]

235. Elliptic polycycles with holes (with M.Dutour and M.Shtogrin). Uspechi Mat. Nauk {\bf 60-2} (2005) 157--158 = Russian Math. Surveys {\bf 60-2}. [link]

236. Distance metrics: main notions and generalizations (with E.Deza), Research Memorandum {\bf 945} of the Institute of Statistical Mathematics, Tokyo, 2005.

237. Distances on graphs and networks (with E.Deza), Research Memorandum {\bf 946} of the Institute of Statistical Mathematics, Tokyo, 2005.

241. Fullerenes: applications and generalizations, Preprint 2005-38, Preprint Series of Com$^2$MaC, Pohang University of Science and Technology, 2005. [link]

2006

226. Face-regular $3$-valent two-faced spheres and tori (with M.Dutour), Research Memorandum {\bf 976} of the Institute of Statistical Mathematics, Tokyo, 2006. [link]

229. Dictionary of Distances (with E.Deza), Elsevier, book (400 pages, 2006. [link]

234. Non-extendible finite polycycles (with S.Shpectorov and M.Shtogrin), Isvestya of Russian Academy of Sci. Ser. Math. {\bf 70-3} (2006) 3--22 (in Russian). [link]

239. Types and boundary uniqueness of polypentagons (with M.Shtogrin), Uspechi Math. Nauk {\bf 61-6} (2006) 183--184 = Russian Math. Surveys {\bf 61-6}, 1170--1172. [link]

240. Distances on manifolds (with E.Deza), Research Memorandum {\bf 982} of the Institute of Statistical Mathematics, Tokyo, 2006.

244. Designs and Matroids (with P.J.Cameron), in Handbook of Combinatorial Designs, 2nd edition (ed. C. J. Colbourn and J. Dinitz), Discrete Mathematics and its Applications 42, Chapman and Hall/CRC, 2006, Chapter VII.10 (pp.847-851); ISBN: 1584885068. [link] [link]

2007

243. The undecakisicosahedral group and 3-regular carbon network of genus 26 (with A.Ceulemans, E.Lijnen and P.W.Fowler), J. Math. Chemistry {\bf 42-3} (2007) 617--644. [link]

250. Zigzags and Central Circuits for 3- and 4-valent plane graphs, Preprint 2007-19, Preprint Series of Com$^2$MaC, Pohang University of Science and Technology, 2007. [link]

251. Voronoi L-types and Hypermetrics, Preprint 2007-16, Preprint Series of Com$^2$MaC, Pohang University of Science and Technology, 2007. [link]

252. Distances in Pattern Recognition, in Methods from Mathematics and Computer Science for Pattern Recognition in Biology (DAAD Summer School 2007, Shanghai). [link]

2008

219. More about the 52 four-dimensional parallelotopes (with V.P.Grishukhin), Taiwanese Journal of Mathematics, {\bf 12-4} (2008), 901--916, papers/math.GT/0307171 of LANL archive. [link]

223. Filling of a given boundary by $p$-gons and related problems (with M.Dutour and M.Shtogrin), Proceedings of Int. Conference "General Theory of Information Transfer and Combinatorics" (Bielefeld, 2004), ed. by R.Ahlswede, L.Baumer and N.Cai, Discrete Applied Mathematics, {\bf 156} (2008) 1518--1535. [link]

242. Hypercube embedding of Wythoffians (with M.Dutour and S.Shpectorov), Ars Mathematica Contemporanea {\bf 1} (2008) 99--111. [link]

247. Isometricheskie podgrafi hypecubov i cubicheskich reshetok (Russian translation of my book with V.P.Grishukhin and M.Shtogrin, Imperial College Press and World Scientific, 2004, with corrections, additions and new Preface), MCNMO, Moscow, 2008. [link], [link]

248. Encyclopedicheskii slovar passtoyanii (Russian translation of my book with E.I.Deza, Elsevier, 2006, with corrections, additions and new introduction), Nauka, Moscow, 2008. [link]

249. Geometry of Chemical Graphs, book with M.Dutour, 300 pages, in Series: Encyclopedia of Mathematics and its Applications (No. 119), Cambridge University Press, 2008. [link]

2009

238. Elementary elliptic $(R,q)$-polycycles (with M.Dutour and M.Shtogrin), a chapter pp. 351--376 in {\em Analysis of Complex Networks: From Biology to Linguistics}, ed. by M.Dehmer and F.Emmert-Streib, Wiley, 2009. [link] [link]

245. The symmetries of cubic polyhedral graphs with largest face size $6$ (with M.Dutour and P.W.Fowler), MATCH, {\bf 61-3} (2009) 589--602. [link]

246. Polyhexes that are $l_1$ graphs (with S.Shpectorov), European Journal of Combinatorics, {\bf 30-5} (2009) 1090--1100. [link]

253. New examples of generalized fullerenes (with M.Shtogrin), Uspechi Math. Nauk = Russian Math. Surveys, {\bf 64-1} (2009) 145--146. [link]

256. Encyclopedia of Distances, book with E.Deza, Springer, 2009. [link]

2010

254. Some problems, I care most, European Journal of Combinatorics, {\bf 31-2} 2010, 649--675. [link]

257. Geometry of Cuts and Metrics, paperback edition of my book with M.Laurent, Springer, 2010. [link]

259. Enumeration of Hamiltonian Cycles in 6-cube (with R. Sklyar), 2010. [link]

261. Space fullerenes: computer search for new Frank-Kasper structures (with M. Dutour Sikiric and O. Delgado-Friedrichs), Acta Crystallographica, {\bf A66-5} (2010) 602--615. [link]

2011

255. 4-regular and self-dual analogs of fullerenes (with M. Dutour), a chapter pp. 103--116 in "Mathematics and Topology of Fullerenes" ed. by O.Ori, A.Graovac and F.Cataldo, 2011, Springer. [link], [link]

258. Note on Petri duals and hypercube embeddings of semiregular polyhedra, Symmetry, {\bf 22-1,2} (2011) 263--267. [link]

262. Cones of Partial Metrics (with E. Deza), Contributions in Discrete Mathematics, {\bf 6-1} (2011) 26--47. [link]

2012

263. Zigzags and central circuit structure of $({1,2,3},6)$-spheres (with M. Dutour Sikiric), Taiwanese Journal of Mathematics {\bf 16-3} (2012) 913-940. [link] [link],

264. Cones of Weighted and Partial Metrics (with E. Deza and J. Vidali), Proc. Int. Conference on Algebra 2010: Advances in Algebraic Structures, ed. by W.Hemakul, S.Wahyuni and P.W.Sy, World Scientific, pp. 177-197, 2012. [link]

265. Figurate Numbers, book with E.Deza, World Scientific, 2012, ISBN-13 978-981-4355-48-3. [link]

267. Space fullerenes: computer search for new Frank-Kasper structures II (with M. Dutour Sikiric), Structural Chemistry, {\bf 23-4} (2012) 1103--1115. [link]

268. Cones of weighted quasi-metrics, weighted quasi-hypermetrics and of oriented cuts (with V. Grishukhin and E.Deza) pp. 31--53 in {\em Mathematics of Distances and Applications}, Sofia, 2012, [link]

270. Protometrics (with P.Chebotarev), Ivo G. Rosenberg: a commemoration, IEEE Computer Soceity, Tech. Committee on Multi-valued Logic, pp. 79--82, 2012, [link]

272. Encyclopedia of Distances, 2nd edition, book with E.Deza, Springer, 2012, ISBN 978-3-642-30957-1. [link]

2013

260. Maximum independent sets of the 120-cell and other regular polyhedra (with S. Debroni, E. Delisle, W. Myrvold, A. Sethi, J. Whitney, J. Woodcock, P.W. Fowler and B. de La Vaissiere), Ars Mathematica Comptemporanea, {\bf 6-2} (2013) 197--210. [link]

266. A topologic interpretation of the walk distances (with P.Chebotarev). Chapter 4 (pp. 55--67) in {\em Distance Geometry: Theory, Methods and Applications}, ed. by A.Mucherino, C.Lavor, L.Liberti and N.Maculan, Springer, 2013. [link]

269. Fullerene-like Spheres with Faces of Negative Curvature, (with M. Dutour Sikiric and M. Shtogrin) pp. 251--274 in {\em Diamond D5 and Related Nanostructures} Carbon Materials: Chemistry and Physics Volume 6, ed. by M.V. Diudea and C.L. Nagy, Springer, 2013. [link]

271. Fullerenes and disk-fullerenes (with M. Dutour Sikiric and M. Shtogrin), {\em Uspechi Matemat. Nauk}, {\bf 68-4} (2013), 69--128. [link]

2014

273. Voronoi Polytope for Polyhedral Norms on Lattices (with M. Dutour Sikiric), {\em Discrete Applied Mathematics}, 197 (2015) 42--52. [link]

274. Encyclopedia of Distances, 3rd edition, book with E.Deza, Springer, 2014, ISBN 978-3-662-44341-5 [link]

2015

275. Geometric Structure of Chemistry-relevant Graphs: zigzags and central circuits, book with M.Dutour Sikiric and M.Shtogrin, Springer, 2015. ISBN 978-81-322-2449-5

277. The hypermetric cone on 8 vertices and some generalizations, with M.Dutour Sikiric, 2015. [link]

278. Hypercube emulation of interconnection networks topologies, with A. Alahmadi, H. Alhazmi, S. Ali, M. Dutour Sikiric and P. Sole, Mathematical Methods in the Applied Sciences 2016. [link]

279. The joint weight enumerator of an LCD code and its dual, with A. Alahmadi, M. Dutour Sikiric and P. Sole, 2015. [link]

280. Zigzag structure of thin chamber complexes, with M. Pankov, 2015. [link]

281. Polyhedral structures associated with quasi-metrics (in Russian), with E. Deza and M. Dutour Sikiric, Chebyshevskii Sbornik, 16(2) (2015) 79--92.

2016

276. Enumeration of the facets of cut polytopes over some highly symmetric graphs, with M.Dutour Sikiric, International Transactions in Operational Research, Volume 23-5, pp. 853--860, 2016. [link]

282. Generalizations of Finite Metrics and Cuts, book with E. Deza and M. Dutour Sikiric, World Scientific, 2016. ISBN: 978-981-4740-41-8

283. Lego-like spheres and tori, with M. Dutour Sikiric, Journal of Math. Chemistry, Volume 55-3, 752--798, 2017.

284. Encyclopedia of Distances, 4th edition, book with E.Deza, Springer, 2016.

285. Computations of metric/cut polyhedra and their relatives, with M. Dutour Sikiric and E. Deza, 2016.